513305233 has 24 divisors (see below), whose sum is σ = 614861280. Its totient is φ = 427029120.

The previous prime is 513305231. The next prime is 513305269. The reversal of 513305233 is 332503315.

It is a happy number.

It is not a de Polignac number, because 513305233 - 2¹ = 513305231 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513305198 and 513305207.

It is not an unprimeable number, because it can be changed into a prime (513305231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376473 + ... + 377833.

It is an arithmetic number, because the mean of its divisors is an integer number (25619220).

Almost surely, 2^513305233 is an apocalyptic number.

It is an amenable number.

513305233 is a deficient number, since it is larger than the sum of its proper divisors (101556047).

513305233 is a wasteful number, since it uses less digits than its factorization.

513305233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 513305233 is about 22656.2404868946. The cubic root of 513305233 is about 800.6792319958.

Adding to 513305233 its reverse (332503315), we get a palindrome (845808548).

The spelling of 513305233 in words is "five hundred thirteen million, three hundred five thousand, two hundred thirty-three".